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Log 3 (49)

Log 3 (49) is the logarithm of 49 to the base 3:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (49) = 3.5424874983228.

Calculate Log Base 3 of 49

To solve the equation log 3 (49) = x carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = 10:
    log a (x) = log(x) / log(a)
  2. Substitute the variables:
    With x = 49, a = 3:
    log 3 (49) = log(49) / log(3)
  3. Evaluate the term:
    log(49) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 3.5424874983228
    = Logarithm of 49 with base 3
Here’s the logarithm of 3 to the base 49.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 3.5424874983228 = 49
  • 3 3.5424874983228 = 49 is the exponential form of log3 (49)
  • 3 is the logarithm base of log3 (49)
  • 49 is the argument of log3 (49)
  • 3.5424874983228 is the exponent or power of 3 3.5424874983228 = 49
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log3 49?

Log3 (49) = 3.5424874983228.

How do you find the value of log 349?

Carry out the change of base logarithm operation.

What does log 3 49 mean?

It means the logarithm of 49 with base 3.

How do you solve log base 3 49?

Apply the change of base rule, substitute the variables, and evaluate the term.

What is the log base 3 of 49?

The value is 3.5424874983228.

How do you write log 3 49 in exponential form?

In exponential form is 3 3.5424874983228 = 49.

What is log3 (49) equal to?

log base 3 of 49 = 3.5424874983228.
For further questions about the logarithm equation, common logarithms, the exponential function or the exponential equation fill in the form at the bottom.

Summary

In conclusion, log base 3 of 49 = 3.5424874983228.

You now know everything about the logarithm with base 3, argument 49 and exponent 3.5424874983228.
Further information, particularly about the binary logarithm, natural logarithm and decadic logarithm can be located in our article logarithm.

Besides the types of logarithms, there, we also shed a light on the terms on the properties of logarithms and the logarithm function, just to name a few.
Thanks for visiting Log3 (49).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(48.5)=3.5331516295428
log 3(48.51)=3.5333392883882
log 3(48.52)=3.5335269085531
log 3(48.53)=3.5337144900533
log 3(48.54)=3.5339020329048
log 3(48.55)=3.5340895371236
log 3(48.56)=3.5342770027254
log 3(48.57)=3.5344644297263
log 3(48.58)=3.5346518181421
log 3(48.59)=3.5348391679888
log 3(48.6)=3.5350264792821
log 3(48.61)=3.5352137520379
log 3(48.62)=3.5354009862722
log 3(48.63)=3.5355881820007
log 3(48.64)=3.5357753392393
log 3(48.65)=3.5359624580037
log 3(48.66)=3.53614953831
log 3(48.67)=3.5363365801737
log 3(48.68)=3.5365235836107
log 3(48.69)=3.5367105486369
log 3(48.7)=3.5368974752679
log 3(48.71)=3.5370843635196
log 3(48.72)=3.5372712134077
log 3(48.73)=3.5374580249479
log 3(48.74)=3.5376447981561
log 3(48.75)=3.5378315330478
log 3(48.76)=3.5380182296389
log 3(48.77)=3.538204887945
log 3(48.78)=3.5383915079819
log 3(48.79)=3.5385780897652
log 3(48.8)=3.5387646333106
log 3(48.81)=3.5389511386338
log 3(48.82)=3.5391376057504
log 3(48.83)=3.5393240346761
log 3(48.84)=3.5395104254266
log 3(48.85)=3.5396967780174
log 3(48.86)=3.5398830924642
log 3(48.87)=3.5400693687825
log 3(48.88)=3.5402556069881
log 3(48.89)=3.5404418070965
log 3(48.9)=3.5406279691233
log 3(48.91)=3.540814093084
log 3(48.92)=3.5410001789942
log 3(48.93)=3.5411862268694
log 3(48.94)=3.5413722367253
log 3(48.95)=3.5415582085774
log 3(48.96)=3.5417441424411
log 3(48.97)=3.541930038332
log 3(48.98)=3.5421158962656
log 3(48.99)=3.5423017162574
log 3(49)=3.5424874983228
log 3(49.01)=3.5426732424775
log 3(49.02)=3.5428589487367
log 3(49.03)=3.5430446171161
log 3(49.04)=3.543230247631
log 3(49.05)=3.5434158402969
log 3(49.06)=3.5436013951291
log 3(49.07)=3.5437869121433
log 3(49.08)=3.5439723913546
log 3(49.09)=3.5441578327786
log 3(49.1)=3.5443432364307
log 3(49.11)=3.5445286023262
log 3(49.12)=3.5447139304805
log 3(49.13)=3.5448992209089
log 3(49.14)=3.5450844736269
log 3(49.15)=3.5452696886497
log 3(49.16)=3.5454548659928
log 3(49.17)=3.5456400056714
log 3(49.18)=3.5458251077008
log 3(49.19)=3.5460101720964
log 3(49.2)=3.5461951988735
log 3(49.21)=3.5463801880473
log 3(49.22)=3.5465651396331
log 3(49.23)=3.5467500536463
log 3(49.24)=3.546934930102
log 3(49.25)=3.5471197690156
log 3(49.26)=3.5473045704022
log 3(49.27)=3.5474893342771
log 3(49.28)=3.5476740606555
log 3(49.29)=3.5478587495527
log 3(49.3)=3.5480434009838
log 3(49.31)=3.5482280149641
log 3(49.32)=3.5484125915087
log 3(49.33)=3.5485971306329
log 3(49.34)=3.5487816323517
log 3(49.35)=3.5489660966803
log 3(49.36)=3.549150523634
log 3(49.37)=3.5493349132278
log 3(49.38)=3.5495192654768
log 3(49.39)=3.5497035803963
log 3(49.4)=3.5498878580012
log 3(49.41)=3.5500720983068
log 3(49.42)=3.5502563013281
log 3(49.43)=3.5504404670802
log 3(49.44)=3.5506245955782
log 3(49.45)=3.5508086868371
log 3(49.46)=3.550992740872
log 3(49.47)=3.551176757698
log 3(49.48)=3.5513607373301
log 3(49.49)=3.5515446797833
log 3(49.5)=3.5517285850727
log 3(49.51)=3.5519124532132

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